Question

HELP!!!

31) Find the measure of line segment DF.
A) 12
B) 13
C) 14
D) 15

Answer 1

Explanation:

for the relationship of lengths of internal chords the product of both segments of a chord is equal for all intersecting chords.

in our case

(x+8)×8 = 7×16 = 112

8x + 64 = 112

8x = 48

x = 6

so, D-F = x + 8 = 6 + 8 = 14

so, C is correct